Parameter, ( ${\eta }_t$ )

County, (c)

Time, (t)

True value

Mean

Median

95% Credible Interval

${\eta }_{\left(1,1\right)}$

1

1

2.3680

2.3843

2.1839

(0.3721, 5.4697)

${\eta }_{\left(5,4\right)}$

5

4

4.5877

4.7158

4.6408

(2.1585, 7.7396)

${\eta }_{\left(10,7\right)}$

10

7

2.4074

2.3869

2.2181

(0.4003, 5.4320)

${\eta }_{\left(20,7\right)}$

20

7

3.5069

3.5500

3.4151

(1.0403, 6.7647)

${\eta }_{\left(30,3\right)}$

30

3

3.6489

3.3447

3.2082

(0.9404, 6.4711)

${\eta }_{\left(38,3\right)}$

38

3

3.0421

4.4188

4.3412

(1.7754, 7.6089)

${\eta }_{\left(40,7\right)}$

40

7

3.6504

4.7483

4.6614

(2.1355, 7.8196)

${\eta }_{\left(45,6\right)}$

45

6

4.7043

4.3970

4.3090

(1.8578, 7.4275)